Finite Group Databasebeta

← Group #10773236

Character table — Group #10773236

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444448888888812121212121212121616161616161616161616161616161624242424242424244848
order122234444446662444121212121212444461212128888888888881212121224242424242424242224444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1
χ6111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-111-1-1-111-1-1
χ7111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111
χ8111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-111
χ911111-1-11111111-1-1-11-1-1111111-1-1-11-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-11-1-11-11-1
χ1011111-1-11111111-1-1-11-1-1111111-1-1-11-1-11111-1-1-1-1-11-1111-1-1-1-111-1-111-1-11-111-111-1
χ1111111-1-11111111-1-1-11-1-1111111-1-1-11-1-1-1-1-1-111111-11-111-1-111-1-111-1-1-1-11-111-11-11
χ1211111-1-11111111-1-1-11-1-1111111-1-1-11-1-1-1-1-1-11111-11-1111-1-1-1-111-1-11111-11-1-11-1-11
χ1311111-1-11111111-1-1-11-1-11111-1-111-11-1-11111-1-1-1-11-1-11-1-11111-1-1-1-1111-111-1-1-11-11
χ1411111-1-11111111-1-1-11-1-11111-1-111-11-1-11111-1-1-1-1-111-1-1-111-1-11111-1-1-11-1-1111-1-11
χ1511111-1-11111111-1-1-11-1-11111-1-111-11-1-1-1-1-1-111111-1-11-1-11111-1-1-1-111-11-1-1111-11-1
χ1611111-1-11111111-1-1-11-1-11111-1-111-11-1-1-1-1-1-11111-111-1-1-111-1-11111-1-11-111-1-1-111-1
χ1722222222-2-22222-22-2-2222-2-220000-2-22-2000000000000000000000000200-2-220000
χ1822222222-2-22222-22-2-2222-2-220000-2-22-2000000000000000000000000-20022-20000
χ192222222-222-22222-2-2-222-222-200002-2-2-200000000000000000000000002-2000-2200
χ202222222-222-22222-2-2-222-222-200002-2-2-20000000000000000000000000-220002-200
χ212222222-2-2-2-2222-2-22222-2-2-2-22-22-2-22-220000000000002-22-2000000000000000000
χ222222222-2-2-2-2222-2-22222-2-2-2-2-22-22-22-22000000000000-22-22000000000000000000
χ2322222-2-22-2-222222-22-2-2-22-2-2200002-2-22000000000000000000000000200-22-20000
χ2422222-2-22-2-222222-22-2-2-22-2-2200002-2-22000000000000000000000000-2002-220000
χ2522222-2-2-222-2222-222-2-2-2-222-20000-2-222000000000000000000000000022000-2-200
χ2622222-2-2-222-2222-222-2-2-2-222-20000-2-2220000000000000000000000000-2-20002200
χ2722222-2-2-2-2-2-222222-22-2-2-2-2-2-22-2-22222-20000000000002-2-22000000000000000000
χ2822222-2-2-2-2-2-222222-22-2-2-2-2-2-2-222-2222-2000000000000-222-2000000000000000000
χ292222-1222222-1-1-12222-1-1-1-1-1-12222-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ302222-1222222-1-1-12222-1-1-1-1-1-12222-1-1-1-100000000-2-2-2-2-1-1-1-1111111110000000000
χ312222-1222222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-10000000022-2-21111-1-1-1-111110000000000
χ322222-1222222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-100000000-2-22211111111-1-1-1-10000000000
χ332222-122-2-2-2-2-1-1-1-2-222-1-111112-22-21-11-1000000000000-11-113−33−33−33−30000000000
χ342222-122-2-2-2-2-1-1-1-2-222-1-111112-22-21-11-1000000000000-11-11−33−33−33−330000000000
χ352222-122-2-2-2-2-1-1-1-2-222-1-11111-22-221-11-10000000000001-11-13−33−3−33−330000000000
χ362222-122-2-2-2-2-1-1-1-2-222-1-11111-22-221-11-10000000000001-11-1−33−333−33−30000000000
χ372222-1-2-22222-1-1-1-2-2-2211-1-1-1-122-2-21-111000000002-22-2-1-111-1-111-1-1110000000000
χ382222-1-2-22222-1-1-1-2-2-2211-1-1-1-122-2-21-11100000000-22-22-1-11111-1-111-1-10000000000
χ392222-1-2-22222-1-1-1-2-2-2211-1-1-1-1-2-2221-111000000002-2-2211-1-1-1-11111-1-10000000000
χ402222-1-2-22222-1-1-1-2-2-2211-1-1-1-1-2-2221-11100000000-222-211-1-111-1-1-1-1110000000000
χ412222-1-2-2-2-2-2-2-1-1-122-221111112-2-22-1-1-11000000000000-111-13−3−333−3−330000000000
χ422222-1-2-2-2-2-2-2-1-1-122-221111112-2-22-1-1-11000000000000-111-1−333−3−333−30000000000
χ432222-1-2-2-2-2-2-2-1-1-122-22111111-222-2-1-1-110000000000001-1-113−3−33−333−30000000000
χ442222-1-2-2-2-2-2-2-1-1-122-22111111-222-2-1-1-110000000000001-1-11−333−33−3−330000000000
χ454444-2444-4-44-2-2-2-44-4-4-2-2-222-2000022-220000000000000000000000000000000000
χ464444-244-444-4-2-2-24-4-4-4-2-22-2-220000-22220000000000000000000000000000000000
χ474444-2-4-44-4-44-2-2-24-44-422-222-20000-222-20000000000000000000000000000000000
χ484444-2-4-4-444-4-2-2-2-444-4222-2-22000022-2-20000000000000000000000000000000000
χ4944-4-440004-404-4-400000004-400000000000002222−22−2200000000000000000000000000
χ5044-4-440004-404-4-400000004-40000000000000−22−22222200000000000000000000000000
χ5144-4-44000-4404-4-40000000-440000000002222−22−22000000000000000000000000000000
χ5244-4-44000-4404-4-40000000-44000000000−22−222222000000000000000000000000000000
χ534-44-444i−4i0000-44-400004i−4i0000000000002-22-22i−2i2i−2i00000000000000000000000000
χ544-44-444i−4i0000-44-400004i−4i000000000000-22-22−2i2i−2i2i00000000000000000000000000
χ554-44-44−4i4i0000-44-40000−4i4i0000000000002-22-2−2i2i−2i2i00000000000000000000000000
χ564-44-44−4i4i0000-44-40000−4i4i000000000000-22-222i−2i2i−2i00000000000000000000000000
χ574-4-44400400-4-4-44000000400-4000000000000−2i22i22i2−2i200000000000000000000000000
χ584-4-44400400-4-4-44000000400-40000000000002i2−2i2−2i22i200000000000000000000000000
χ594-4-44400-4004-4-44000000-40040000000022−22−2222000000000000000000000000000000
χ604-4-44400-4004-4-44000000-400400000000−222222−22000000000000000000000000000000
χ6188-8-8-40008-80-4440000000-440000000000000000000000000000000000000000000
χ6288-8-8-4000-880-44400000004-40000000000000000000000000000000000000000000
χ638-88-8-48i−8i00004-440000−4i4i0000000000000000000000000000000000000000000000
χ648-88-8-4−8i8i00004-4400004i−4i0000000000000000000000000000000000000000000000
χ658-8-88-400800-844-4000000-4004000000000000000000000000000000000000000000
χ668-8-88-400-800844-4000000400-4000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).